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Find the total number of terms in the expansion of (x + a)^11 - (x - a)^11 after simplification.

 Jul 7, 2022
 #1
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Note that \(-a^y = a^y\) when y is even. 

 

This means that all the terms with an even-powered term will cancel out. 

 

Thus, the resulting expansion will have \(\color{brown}\boxed{6}\) terms: \(a^{11}, a^9, a^7, a^5, a^3, a\)

 Jul 8, 2022

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